Another remark on the radical of an ODD perfect number
Résumé
Ellia recently proved that if N is an odd perfect number such that rad(N) > √N, then its special prime p satisfies p > 148207 if 3 # N and p > 223 otherwise. He also suggested that these bounds can be improved with some computation. We obtain that if N is an odd perfect number such that rad(N) > √N, then p > 10 60.